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42239232 = 2835797
BaseRepresentation
bin1010000100100…
…0010100000000
32221110222100000
42201020110000
541303123412
64105200000
71022012310
oct241102400
987428300
1042239232
112192aa62
1212190000
13899bb39
145877440
153a954dc
hex2848500

42239232 has 216 divisors, whose sum is σ = 145827136. Its totient is φ = 11943936.

The previous prime is 42239231. The next prime is 42239233. The reversal of 42239232 is 23293224.

42239232 is a `hidden beast` number, since 422 + 3 + 9 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (42239231) and next prime (42239233).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42239196 and 42239205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42239231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435408 + ... + 435504.

Almost surely, 242239232 is an apocalyptic number.

42239232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42239232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72913568).

42239232 is an abundant number, since it is smaller than the sum of its proper divisors (103587904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42239232 is an frugal number, since it uses more digits than its factorization.

42239232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 42239232 is about 6499.1716395245. The cubic root of 42239232 is about 348.2613969462.

The spelling of 42239232 in words is "forty-two million, two hundred thirty-nine thousand, two hundred thirty-two".